The Gibbons-Hawking ansatz over a wedge (Q2410652)
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| Language | Label | Description | Also known as |
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| English | The Gibbons-Hawking ansatz over a wedge |
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The Gibbons-Hawking ansatz over a wedge (English)
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18 October 2017
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The author discusses the Ricci-flat `model metrics' on \(\mathbb C^2\) with cone singularities along the conic \(\{zw = 1 \}\) constructed by Donaldson using the Gibbons-Hawking ansatz over wedges in \(\mathbb R^3\). See [\textit{S. K. Donaldson}, in: Essays in mathematics and its applications. In honor of Stephen Smale's 80th birthday. Berlin: Springer. 49--79 (2012; Zbl 1326.32039)]. In particular, he describes their asymptotic behaviour at infinity and computes their energies.
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Gibbons-Hawking ansatz
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conical Kähler metrics
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Ricci-flat model metrics
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cone singularities
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asymptotic behaviour
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